What is the area of this circle given a radius of 2 in?

Can someone please help me

salantis [7]

Using Pythagorean theorem

$\\ \sf\longmapsto P^2=H^2-B^2$

$\\ \sf\longmapsto P^2=6^2-5^2$

$\\ \sf\longmapsto P^2=36-25$

$\\ \sf\longmapsto P^2=11$

$\\ \sf\longmapsto P=3.2$

4 0

2 years ago

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Which systems of equations intersect at point A in this graph?

abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) = (-2, 1)

The correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

Step-by-step explanation:

Given the point

A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Arrange equation variable for elimination

$\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}$

so

$y+3x=-5$

$-$

$\underline{y-4x=9}$

$7x=-14$

so the system of equations becomes

$\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}$

Solve 7x = -14 for x

$7x=-14$

Divide both sides by 7

$\frac{7x}{7}=\frac{-14}{7}$

Simplify

$x = -2$

For y - 4x = 9 plug in x = 2

$y-4\left(-2\right)=9$

$y+4\cdot \:2=9$

$y+8=9$

Subtract 8 from both sides

$y+8-8=9-8$

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) = (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

3 0

2 years ago

Which expression is equal to 3(5+6)? A. 15 + 18 B. 15 + 6 C. 5 + 18 D. 3 + 11

NARA [144]

A. 15+18 is the correct answer by using distribution property

6 0

2 years ago

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I need help with my homework..

Alex Ar [27]

I am not sure what's questions you wanted me to answer but the answer to number 17 is 13

5 0

2 years ago

Complete each question by choosing or typing in the best answer. To receive the highest score, be sure to leave nothing blank. W

Stells [14]

Answer:

The correct option is C) 36

Step-by-step explanation:

Consider the provided table:

x - y

1 - 1

2 - 4

3 - 9

4 - 16

Observe the pattern:

If we square the x value we can find the corresponding y value.

For example

2² = 4

Where 2 is x value and 4 is corresponding y value, similarly

3² = 9

4² = 16

Now we need to find the y value when x=6.

To find this simply square the x value that will gives us the corresponding y value.

6² = 36

Hence, the correct option is C) 36

5 0

3 years ago